Shell extremal eigenvalues of tridiagonal Toeplitz Matrices
Copyright policy )Shell extremal eigenvalues of tridiagonal Toeplitz Matrices
The shell of a complex tridiagonal Toeplitz matrix is studied. Closed formulas for all quantities involved in its equation are presented. Necessary and sufficient conditions for a Toeplitz tridiagonal matrix to have shell extremal eigenvalues are given. Several, recently introduced, geometric quantities related to the shell are studied as measures of non-normality of these extremal eigenvalues of such matrices. These quantities are also proposed as measures of non-normality for the matrix itself.
- University of West Attica Greece
Eigenvalues, singular values, and eigenvectors, Toeplitz, Cauchy, and related matrices, cubic curve, non-normal matrix, shell, extremal eigenvalues, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Hermitian, skew-Hermitian, and related matrices, Toeplitz matrix
Eigenvalues, singular values, and eigenvectors, Toeplitz, Cauchy, and related matrices, cubic curve, non-normal matrix, shell, extremal eigenvalues, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Hermitian, skew-Hermitian, and related matrices, Toeplitz matrix
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